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83289834340 = 225178311326119
BaseRepresentation
bin100110110010001110…
…1100000001101100100
321221222121111222022021
41031210131200031210
52331034144144330
6102132434112524
76005666624236
oct1154435401544
9257877458267
1083289834340
1132360a38339
121418571b744
137b1489805b
144061a6a256
15227721467a
hex1364760364

83289834340 has 96 divisors (see below), whose sum is σ = 189094590720. Its totient is φ = 30703067136.

The previous prime is 83289834281. The next prime is 83289834347. The reversal of 83289834340 is 4343898238.

It is a super-3 number, since 3×832898343403 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83289834347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175801 + ... + 3201919.

It is an arithmetic number, because the mean of its divisors is an integer number (1969735320).

Almost surely, 283289834340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83289834340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94547295360).

83289834340 is an abundant number, since it is smaller than the sum of its proper divisors (105804756380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83289834340 is a wasteful number, since it uses less digits than its factorization.

83289834340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26341 (or 26339 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 83289834340 in words is "eighty-three billion, two hundred eighty-nine million, eight hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 113 166 170 226 332 340 415 452 565 830 1130 1411 1660 1921 2260 2822 3842 5644 7055 7684 9379 9605 14110 18758 19210 26119 28220 37516 38420 46895 52238 93790 104476 130595 159443 187580 261190 318886 444023 522380 637772 797215 888046 1594430 1776092 2167877 2220115 2951447 3188860 4335754 4440230 5902894 8671508 8880460 10839385 11805788 14757235 21678770 29514470 36853909 43357540 50174599 59028940 73707818 100349198 147415636 184269545 200698396 244970101 250872995 368539090 489940202 501745990 737078180 979880404 1003491980 1224850505 2449701010 4164491717 4899402020 8328983434 16657966868 20822458585 41644917170 83289834340